The percent error is 25 %
Solution:
Given that it is estimated that there are 50 students in the seventh grade class, but there are actually 40
To find: percent error
Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%
The formula for percent error is given as:
[tex]\text{ percent error }=\frac{\text { approximate value }-\text {exact value}}{\text { exact value }} \times 100$[/tex]
Here, exact value = 40 and approximate value or estimated value = 50
Substituting the values in above formula,
[tex]\begin{aligned}&\text { percent error }=\frac{50-40}{40} \times 100\\\\&\text { percent error }=\frac{10}{40} \times 100=\frac{100}{4}=25\end{aligned}[/tex]
Thus the percent error is 25 %